312642501641 has 2 divisors, whose sum is σ = 312642501642. Its totient is φ = 312642501640.

The previous prime is 312642501539. The next prime is 312642501643. The reversal of 312642501641 is 146105246213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202968270400 + 109674231241 = 450520^2 + 331171^2 .

It is a cyclic number.

It is not a de Polignac number, because 312642501641 - 2²² = 312638307337 is a prime.

Together with 312642501643, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312642501643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156321250820 + 156321250821.

It is an arithmetic number, because the mean of its divisors is an integer number (156321250821).

Almost surely, 2^312642501641 is an apocalyptic number.

It is an amenable number.

312642501641 is a deficient number, since it is larger than the sum of its proper divisors (1).

312642501641 is an equidigital number, since it uses as much as digits as its factorization.

312642501641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 312642501641 its reverse (146105246213), we get a palindrome (458747747854).

The spelling of 312642501641 in words is "three hundred twelve billion, six hundred forty-two million, five hundred one thousand, six hundred forty-one".